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Question Number 168537 by Mastermind last updated on 12/Apr/22

$$4^{61}+4^{62}+4^{63}+4^{64}isdivisibleby$$$$\left(1\right)17\left(2\right)3$$$$\left(3\right)11\left(4\right)13$$$$$$$$Mastermind$$

Answered by MJS_new last updated on 12/Apr/22

$$4^{61}(1+4+4^2+4^3)=4^{61}\times 85=2^{122}\times 5\times 17$$

Answered by mathfreak last updated on 12/Apr/22

$$4^{61}+4^{62}+4^{63}+4^{64}=4^{61}(1+4+16+64)$$$$=4^{61}\left(85\right)=5\left(17\right)\left(4^{61}\right)$$$$answer=17$$

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